DYNAMICS CONTROL AND CONSTRAINT STABILIZATION

Abstract

Results of researchers on dynamics modeling of the systems containing different physical elements are proposed. The construction method of the physical systems dynamics equations, providing constraints stabilization, is discussed. The problem of corresponding constraints reactions or determination of control actions is reduced to the construction of the system of differential equations, assuming that the partial integrals are given. The conditions of asymptotic stability and exponential stability an integral manifold's corresponding constraint equations are defined.